SOLUTION: Two positive whole numbers differ by 3, and the sum of their squares is 89.If the smaller number is x form an equation in x and solve it to find the numbers

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Two positive whole numbers differ by 3, and the sum of their squares is 89.If the smaller number is x form an equation in x and solve it to find the numbers      Log On


   



Question 916798: Two positive whole numbers differ by 3, and the sum of their squares is 89.If the smaller number is x form an equation in x and solve it to find the numbers
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x the smaller number: y = x%2B3
x^2 + (x+3)^2 = 89
2x^2 + 6x - 80 = 0
x^2 + 3x - 40 = 0
(x + 8)(x-5) = 0
x is -8, 5
y = x%2B3
(-8, -5) and (5,8) the solution set